Cramer-Rao bounds for long-wave infrared gaseous plume quantification
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Golowich-2014-Cramer-Rao bounds fo.pdf
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Author(s)
Golowich, Steven E.
Manolakis, Dimitris G.
Date Issued
December 2013
Journal
Optical Engineering
Publisher
SPIE
Citation
Golowich, Steven E., and Dimitris G. Manolakis. “Cramer-Rao Bounds for Long-Wave Infrared Gaseous Plume Quantification.” Opt. Eng 53, no. 2 (December 16, 2013): 021109. © 2014 SPIE
Version
Final published version
Abstract
The central parameter in the quantification of chemical vapor plumes via remote sensing is the mean concentration-path length (CL) product, which can be combined with scene geometry information to provide estimates of the absolute gas quantity present. We derive Cramer-Rao lower bounds on the variance of an unbiased estimator of CL in concert with other parameters of a nonlinear radiance model. These bounds offer a guide to feasibility of CL estimation that is not dependent on any given algorithm. In addition, the derivation of the bounds yields great insight into the physical and phenomenological mechanisms that control plume quantification, which we illustrate with examples representing a variety of experimental scenarios.
MIT Department
Lincoln Laboratory
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Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
https://doi.org/10.1117/1.oe.53.2.021109
